rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Symbolic-Numeric Computation
  name:
    name part: Wang, Dongming.
    role:
      role term: editor.
  name:
    name part: Zhi, Lihong.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 395 p. online resource.
  abstract: The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the current state of the art and will serve as a valuable reference on the development of algorithms and software packages for hybrid symbolic-numeric computation. The book highlights the interaction between symbolic and numeric computations. It contains tutorial surveys by distinguished experts, covers recent advances on key topics, and provides effective methods illustrated with applications.
  table of contents: On a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis -- Ill-conditioned Properties and Hybrid Computations -- Rational Interpolation and Its Ill-conditioned Property -- Computing Approximate GCD of Multivariate Polynomials -- Structured Low Rank Approximation of a Sylvester Matrix -- Implementation of Fast Low Rank Approximation of a Sylvester Matrix -- New Algorithms for Exact and Approximate Polynomial Decomposition -- Amortized Bound for Root Isolation via Sturm Sequences -- An Algorithm of Real Root Isolation for Polynomial Systems with Applications to the Construction of Limit Cycles -- An Algebraic Method for Separating Close-Root Clusters and the Minimum Root Separation -- On the Location of Zeros of an Interval Polynomial -- Root-Finding with Eigen-Solving -- Galois Theory via Eigenvalue Methods -- Pythagore’s Dilemma, Symbolic-Numeric Computation, and the Border Basis Method -- Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polynomial System -- Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems -- On Approximate Linearized Triangular Decompositions -- On the Extended Iterative Proportional Scaling Algorithm -- Preprocessing for Finite Element Discretizations of Geometric Problems -- Symbolic Computation Sequences and Numerical Analytic Geometry Applied to Multibody Dynamical Systems -- A Symbolic-Numeric Approach to an Electric Field Problem -- Financial Applications of Symbolically Generated Compact Finite Difference Formulae -- Symbolic Analyzer for Large Lumped and Distributed Networks.
  note: edited by Dongming Wang, Lihong Zhi.
  subject:
    topic: Mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Trends in Mathematics
  identifier: 9783764379841
  identifier: http://dx.doi.org/10.1007/978-3-7643-7984-1
  record info:
    record creation date: 100301
    record change date: 20150519185629.0
    record identifier: 978-3-7643-7984-1